Edit Profile (opens in new tab) Song, Guangjing Co-Author Distance Author ID: song.guangjing Published as: Song, Guang-Jing; Song, Guangjing; Song, Guang Jing more...less Documents Indexed: 50 Publications since 2007, including 2 Additional arXiv Preprints Co-Authors: 26 Co-Authors with 38 Joint Publications 1,311 Co-Co-Authors all top 5 Co-Authors 8 single-authored 14 Ng, Michael Kwok-Po 11 Wang, Qingwen 7 Yu, Shaowen 4 Chang, Haixia 2 Chen, Ming 2 Jia, Zhigang 2 Li, Luyu 2 Lin, Chunyan 2 Liu, Xin 2 Ou, Jinping 2 Wang, Xuezhong 2 Zhang, Xiongjun 2 Zhu, Hong 1 Ali Khan, Israr 1 Ding, Weiyang 1 Ding, Xiufang 1 Dong, Changzhou 1 Franchek, Matthew A. 1 Huang, Ting-Zhu 1 Jiang, Jing 1 Jiang, Tai-Xiang 1 Li, Ning 1 Liu, Yijun 1 Liu, Yun-Yang 1 Pan, Junjun 1 Wu, Zhongcheng 1 Zhang, Huasheng 1 Zhang, Yang 1 Zhao, Xile 1 Zheng, Yubang all top 5 Serials 9 Applied Mathematics and Computation 6 Journal of Applied Mathematics and Computing 3 Advances in Applied Clifford Algebras 3 ELA. The Electronic Journal of Linear Algebra 3 Journal of Vibration and Control 2 Journal of Statistical Planning and Inference 2 Journal of Scientific Computing 2 Algebra Colloquium 2 Numerical Linear Algebra with Applications 1 Computers & Mathematics with Applications 1 Linear and Multilinear Algebra 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 Applied and Computational Harmonic Analysis 1 Statistical Papers 1 Mediterranean Journal of Mathematics 1 Inverse Problems and Imaging 1 Communication on Applied Mathematics and Computation 1 Proceedings A. Royal Society of London 1 Annals of Applied Mathematics all top 5 Fields 34 Linear and multilinear algebra; matrix theory (15-XX) 11 Numerical analysis (65-XX) 6 Operations research, mathematical programming (90-XX) 5 Statistics (62-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 352 times in 200 Documents Cited by ▼ Year ▼ Robust quaternion matrix completion with applications to image inpainting. Zbl 1474.65126 Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing 38 2019 Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. Zbl 1217.15020 Song, Guang-Jing; Wang, Qing-Wen; Chang, Hai-Xia 34 2011 Robust tensor completion using transformed tensor singular value decomposition. Zbl 07217207 Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun 29 2020 Condensed Cramer rule for some restricted quaternion linear equations. Zbl 1248.15016 Song, Guang-Jing; Wang, Qing-Wen 27 2011 Lanczos method for large-scale quaternion singular value decomposition. Zbl 07107363 Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing 24 2019 Cramer’s rule for a system of quaternion matrix equations with applications. Zbl 1427.15019 Song, Guangjing; Wang, Qingwen; Yu, Shaowen 22 2018 Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application. Zbl 1124.15010 Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan 20 2007 Maximal and minimal ranks of the common solution of some linear matrix equations over an arbitrary division ring with applications. Zbl 1176.15020 Wang, Qingwen; Song, Guang Jing; Liu, Xin 16 2009 A new solvable condition for a pair of generalized Sylvester equations. Zbl 1190.15019 Wang, Qing-Wen; Zhang, Hua-Sheng; Song, Guang-Jing 15 2009 (\(R,S\))-conjugate solution to a pair of linear matrix equations. Zbl 1201.15006 Chang, Hai-Xia; Wang, Qing-Wen; Song, Guang-Jing 14 2010 Characterization of the \(W\)-weighted Drazin inverse over the quaternion skew field with applications. Zbl 1283.15019 Song, Guang Jing 14 2013 New results on condensed Cramer’s rule for the general solution to some restricted quaternion matrix equations. Zbl 1360.65129 Song, Guang-Jing; Dong, Chang-Zhou 12 2017 Determinantal representation of the generalized inverses over the quaternion skew field with applications. Zbl 1302.15007 Song, Guang-Jing 11 2012 Bott-Duffin inverse over the quaternion skew field with applications. Zbl 1298.15011 Song, Guang-Jing 9 2013 Nonnegative low rank matrix approximation for nonnegative matrices. Zbl 1436.65056 Song, Guang-Jing; Ng, Michael K. 9 2020 Minimal ranks of some quaternion matrix expressions with applications. Zbl 1204.15005 Ali Khan, Israr; Wang, Qing-Wen; Song, Guang-Jing 8 2010 Rank equalities related to the generalized inverse \(A^{(2)}_{T,S}\) with applications. Zbl 1159.15006 Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan 6 2008 Low rank pure quaternion approximation for pure quaternion matrices. Zbl 1510.65086 Song, Guangjing; Ding, Weiyang; Ng, Michael K. 6 2021 Cramer’s rule for the general solution to a restricted system of quaternion matrix equations. Zbl 1439.15006 Song, Guang-Jing; Yu, Shao-Wen 6 2019 Boundary effect on the elastic field of a semi-infinite solid containing inhomogeneities. Zbl 1371.74071 Liu, Y. J.; Song, G.; Yin, H. M. 5 2015 The solution of a generalized Sylvester quaternion matrix equation and its application. Zbl 1382.15024 Song, Guang-Jing; Yu, Shaowen 5 2017 Nonlinear structural vibration suppression using dynamic neural network observer and adaptive fuzzy sliding mode control. Zbl 1269.74171 Li, L.; Song, G.; Ou, J. 5 2010 Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert \(C^\ast\)-modules. Zbl 1264.47022 Song, Guang Jing; Wang, Qing Wen 4 2011 Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications. Zbl 1295.15004 Song, Guang-Jing 3 2012 On the weighted least-squares, the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model. Zbl 1297.62053 Song, Guang Jing; Wang, Qing Wen 3 2014 Nonnegative definite and re-nonnegative definite solutions to a system of matrix equations with statistical applications. Zbl 1427.15020 Song, Guangjing; Yu, Shaowen 3 2018 Active multimodal vibration suppression of a flexible structure with piezoceramic sensor and actuator by using loop shaping. Zbl 1271.74349 Sethi, V.; Franchek, M. A.; Song, G. 3 2011 Common solutions to some operator equations over Hilbert \(C^{\ast}\)-modules and applications. Zbl 1315.47015 Song, Guang-Jing 2 2014 A genetic algorithm-based two-phase design for optimal placement of semi-active dampers for nonlinear benchmark structure. Zbl 1269.74170 Li, L.; Song, G.; Ou, J. 2 2010 Determinantal expression of the general solution to a restricted system of quaternion matrix equations with applications. Zbl 1394.15009 Song, Guang-Jing 2 2018 An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation. Zbl 1476.90318 Zhu, Hong; Ng, Michael K.; Song, Guang-Jing 2 2021 Common nonnegative definite solutions of some classical matrix equations. Zbl 1391.15060 Song, Guang-Jing; Chen, Ming 1 2014 \(\mathrm G\)-positive and \(\mathrm G\)-repositive solutions to some adjointable operator equations over Hilbert \(C^{\ast}\)-modules. Zbl 1312.47021 Song, G. J. 1 2013 On the best linear unbiased estimator and the linear sufficiency of a general growth curve model. Zbl 1213.62100 Song, Guang-Jing 1 2011 A new expression of the Hermitian solutions to a system of matrix equations with applications. Zbl 1347.15022 Song, Guangjing; Yu, Shaowen; Chen, Ming 1 2016 Tensor completion by multi-rank via unitary transformation. Zbl 1514.15037 Song, Guang-Jing; Ng, Michael K.; Zhang, Xiongjun 1 2023 Equalities of various estimators in the general growth curve model and the restricted growth curve model. Zbl 1328.62137 Song, Guangjing; Chang, Haixia 1 2016 Nonnegative low rank tensor approximations with multidimensional image applications. Zbl 07643518 Jiang, Tai-Xiang; Ng, Michael K.; Pan, Junjun; Song, Guang-Jing 1 2023 The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications. Zbl 1410.15013 Song, Guang-Jing; Yu, Shaowen 1 2014 Riemannian conjugate gradient descent method for fixed multi rank third-order tensor completion. Zbl 1501.15020 Song, Guang-Jing; Wang, Xue-Zhong; Ng, Michael K. 1 2023 Tensor completion by multi-rank via unitary transformation. Zbl 1514.15037 Song, Guang-Jing; Ng, Michael K.; Zhang, Xiongjun 1 2023 Nonnegative low rank tensor approximations with multidimensional image applications. Zbl 07643518 Jiang, Tai-Xiang; Ng, Michael K.; Pan, Junjun; Song, Guang-Jing 1 2023 Riemannian conjugate gradient descent method for fixed multi rank third-order tensor completion. Zbl 1501.15020 Song, Guang-Jing; Wang, Xue-Zhong; Ng, Michael K. 1 2023 Low rank pure quaternion approximation for pure quaternion matrices. Zbl 1510.65086 Song, Guangjing; Ding, Weiyang; Ng, Michael K. 6 2021 An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation. Zbl 1476.90318 Zhu, Hong; Ng, Michael K.; Song, Guang-Jing 2 2021 Robust tensor completion using transformed tensor singular value decomposition. Zbl 07217207 Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun 29 2020 Nonnegative low rank matrix approximation for nonnegative matrices. Zbl 1436.65056 Song, Guang-Jing; Ng, Michael K. 9 2020 Robust quaternion matrix completion with applications to image inpainting. Zbl 1474.65126 Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing 38 2019 Lanczos method for large-scale quaternion singular value decomposition. Zbl 07107363 Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing 24 2019 Cramer’s rule for the general solution to a restricted system of quaternion matrix equations. Zbl 1439.15006 Song, Guang-Jing; Yu, Shao-Wen 6 2019 Cramer’s rule for a system of quaternion matrix equations with applications. Zbl 1427.15019 Song, Guangjing; Wang, Qingwen; Yu, Shaowen 22 2018 Nonnegative definite and re-nonnegative definite solutions to a system of matrix equations with statistical applications. Zbl 1427.15020 Song, Guangjing; Yu, Shaowen 3 2018 Determinantal expression of the general solution to a restricted system of quaternion matrix equations with applications. Zbl 1394.15009 Song, Guang-Jing 2 2018 New results on condensed Cramer’s rule for the general solution to some restricted quaternion matrix equations. Zbl 1360.65129 Song, Guang-Jing; Dong, Chang-Zhou 12 2017 The solution of a generalized Sylvester quaternion matrix equation and its application. Zbl 1382.15024 Song, Guang-Jing; Yu, Shaowen 5 2017 A new expression of the Hermitian solutions to a system of matrix equations with applications. Zbl 1347.15022 Song, Guangjing; Yu, Shaowen; Chen, Ming 1 2016 Equalities of various estimators in the general growth curve model and the restricted growth curve model. Zbl 1328.62137 Song, Guangjing; Chang, Haixia 1 2016 Boundary effect on the elastic field of a semi-infinite solid containing inhomogeneities. Zbl 1371.74071 Liu, Y. J.; Song, G.; Yin, H. M. 5 2015 On the weighted least-squares, the ordinary least-squares and the best linear unbiased estimators under a restricted growth curve model. Zbl 1297.62053 Song, Guang Jing; Wang, Qing Wen 3 2014 Common solutions to some operator equations over Hilbert \(C^{\ast}\)-modules and applications. Zbl 1315.47015 Song, Guang-Jing 2 2014 Common nonnegative definite solutions of some classical matrix equations. Zbl 1391.15060 Song, Guang-Jing; Chen, Ming 1 2014 The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications. Zbl 1410.15013 Song, Guang-Jing; Yu, Shaowen 1 2014 Characterization of the \(W\)-weighted Drazin inverse over the quaternion skew field with applications. Zbl 1283.15019 Song, Guang Jing 14 2013 Bott-Duffin inverse over the quaternion skew field with applications. Zbl 1298.15011 Song, Guang-Jing 9 2013 \(\mathrm G\)-positive and \(\mathrm G\)-repositive solutions to some adjointable operator equations over Hilbert \(C^{\ast}\)-modules. Zbl 1312.47021 Song, G. J. 1 2013 Determinantal representation of the generalized inverses over the quaternion skew field with applications. Zbl 1302.15007 Song, Guang-Jing 11 2012 Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications. Zbl 1295.15004 Song, Guang-Jing 3 2012 Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. Zbl 1217.15020 Song, Guang-Jing; Wang, Qing-Wen; Chang, Hai-Xia 34 2011 Condensed Cramer rule for some restricted quaternion linear equations. Zbl 1248.15016 Song, Guang-Jing; Wang, Qing-Wen 27 2011 Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert \(C^\ast\)-modules. Zbl 1264.47022 Song, Guang Jing; Wang, Qing Wen 4 2011 Active multimodal vibration suppression of a flexible structure with piezoceramic sensor and actuator by using loop shaping. Zbl 1271.74349 Sethi, V.; Franchek, M. A.; Song, G. 3 2011 On the best linear unbiased estimator and the linear sufficiency of a general growth curve model. Zbl 1213.62100 Song, Guang-Jing 1 2011 (\(R,S\))-conjugate solution to a pair of linear matrix equations. Zbl 1201.15006 Chang, Hai-Xia; Wang, Qing-Wen; Song, Guang-Jing 14 2010 Minimal ranks of some quaternion matrix expressions with applications. Zbl 1204.15005 Ali Khan, Israr; Wang, Qing-Wen; Song, Guang-Jing 8 2010 Nonlinear structural vibration suppression using dynamic neural network observer and adaptive fuzzy sliding mode control. Zbl 1269.74171 Li, L.; Song, G.; Ou, J. 5 2010 A genetic algorithm-based two-phase design for optimal placement of semi-active dampers for nonlinear benchmark structure. Zbl 1269.74170 Li, L.; Song, G.; Ou, J. 2 2010 Maximal and minimal ranks of the common solution of some linear matrix equations over an arbitrary division ring with applications. Zbl 1176.15020 Wang, Qingwen; Song, Guang Jing; Liu, Xin 16 2009 A new solvable condition for a pair of generalized Sylvester equations. Zbl 1190.15019 Wang, Qing-Wen; Zhang, Hua-Sheng; Song, Guang-Jing 15 2009 Rank equalities related to the generalized inverse \(A^{(2)}_{T,S}\) with applications. Zbl 1159.15006 Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan 6 2008 Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application. Zbl 1124.15010 Wang, Qing-Wen; Song, Guang-Jing; Lin, Chun-Yan 20 2007 all cited Publications top 5 cited Publications all top 5 Cited by 253 Authors 30 Wang, Qingwen 29 Kyrchei, Ivan I. 23 Song, Guangjing 14 He, ZhuoHeng 14 Ng, Michael Kwok-Po 9 Stanimirović, Predrag S. 9 Yu, Shaowen 7 Li, Ying 7 Mosić, Dijana 7 Zhao, Xile 6 Zhang, Xiongjun 5 Chang, Haixia 5 Dong, Changzhou 5 Huang, Ting-Zhu 5 Jia, Zhigang 5 Liu, Xin 5 Ma, Haifeng 5 Rehman, Abdur 5 Wang, Xiangxiang 4 Ding, Wenxv 4 Hajarian, Masoud 4 Liu, Qiaohua 4 Wei, Anli 4 Zhang, Xiang 4 Zhang, Yang 4 Zhao, Jianli 3 Ali, Ilyas 3 Chen, Guoliang 3 Dehghan Takht Fooladi, Mehdi 3 Ji, Teng-Yu 3 Li, Ben-Zheng 3 Ling, Chen 3 Liu, Lina 3 Ma, Changfeng 3 Matveev, Sergey A. 3 Pan, Junjun 3 Qi, Liqun 3 Qiu, Duo 3 Shakoor, Abdul 3 Wang, Xuezhong 3 Yuan, Shifang 2 Ahmadi-Asl, Salman 2 Bai, Minru 2 Bai, Zhengjian 2 Budzinskiy, Stanislav S. 2 Chen, Yannan 2 Cong, Zhanlei 2 Fang, Xiaochun 2 Farid, Farid O. 2 Gao, Kaixin 2 He, Hongjin 2 Huang, Zheng-Hai 2 Jiang, Jing 2 Ke, Yifen 2 Li, Ning 2 Li, Tao 2 Lin, Chunyan 2 Liu, Longsheng 2 Liu, Xuan 2 Lu, Jian 2 Lyu, Chengyao 2 Ma, Ru-Ru 2 Nie, Xiangrong 2 Radenković, Jovana Nikolov 2 Van der Woude, Jacob Willem 2 Wang, Meng 2 Xie, Wenhui 2 Xu, Qingxiang 2 Xu, Weiru 2 Yu, Juan 2 Yuan, Yongxin 2 Zhang, Fengxia 2 Zhang, Huiting 2 Zhang, Mingcui 2 Zhang, Xinzhen 2 Zhang, Yuping 2 Zhao, Meixiang 2 Zheng, Yubang 2 Zhu, Hong 1 Ackora-Prah, Joseph 1 Ali Khan, Israr 1 Álvarez, Rafael 1 Bao, Yubao 1 Barnes, Benedict 1 Bayoumi, Ahmed M. E. 1 Biswas, Anjan 1 Che, Maolin 1 Chen, Hefeng 1 Chen, Junren 1 Chen, Sheng 1 Chen, Xinyu 1 Chen, Yinlan 1 Cichocki, Andrzej 1 Cvetković-Ilić, Dragana S. 1 Dai, Lifang 1 Ding, Wei 1 Ding, Weiyang 1 Duan, Shan-Qi 1 Duan, Xuefeng 1 Ebadi, Ghodrat ...and 153 more Authors all top 5 Cited in 62 Serials 22 Applied Mathematics and Computation 17 Advances in Applied Clifford Algebras 15 Journal of Scientific Computing 13 Linear and Multilinear Algebra 10 Journal of Applied Mathematics and Computing 7 Journal of Applied Mathematics 6 Numerical Algorithms 6 Algebra Colloquium 5 Journal of Computational and Applied Mathematics 5 Linear Algebra and its Applications 5 Computational and Applied Mathematics 5 Filomat 5 Mathematical Problems in Engineering 4 Applied Mathematics Letters 4 Journal of Industrial and Management Optimization 4 SIAM Journal on Imaging Sciences 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Computers & Mathematics with Applications 3 Journal of the Franklin Institute 3 SIAM Journal on Matrix Analysis and Applications 3 ELA. The Electronic Journal of Linear Algebra 3 Abstract and Applied Analysis 3 AIMS Mathematics 2 Inverse Problems 2 BIT 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Journal of Mathematics 2 Communications on Applied Mathematics and Computation 1 Communications in Algebra 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Bulletin of the Korean Mathematical Society 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Machine Learning 1 Applied Mathematical Modelling 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Statistical Papers 1 Journal of the Egyptian Mathematical Society 1 Advances in Computational Mathematics 1 Taiwanese Journal of Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Central European Journal of Mathematics 1 Quantum Information Processing 1 Hacettepe Journal of Mathematics and Statistics 1 Complex Variables and Elliptic Equations 1 Inverse Problems and Imaging 1 Banach Journal of Mathematical Analysis 1 Tbilisi Mathematical Journal 1 Advances in Applied Mathematics and Mechanics 1 Journal of Applied Analysis and Computation 1 International Journal of Analysis 1 Special Matrices 1 Information Geometry 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 23 Fields 166 Linear and multilinear algebra; matrix theory (15-XX) 86 Numerical analysis (65-XX) 18 Computer science (68-XX) 17 Information and communication theory, circuits (94-XX) 16 Operations research, mathematical programming (90-XX) 9 Statistics (62-XX) 5 Number theory (11-XX) 5 Operator theory (47-XX) 3 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year